Standard Form of Linear Equations

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does 'A' represent in the standard form Ax + By = C?

Back

In the standard form Ax + By = C, 'A' represents the coefficient of x.

Front

What does 'B' represent in the standard form Ax + By = C?

Back

In the standard form Ax + By = C, 'B' represents the coefficient of y.

Front

What does 'C' represent in the standard form Ax + By = C?

Back

In the standard form Ax + By = C, 'C' represents the constant term.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the slope-intercept form y = mx + b?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form y = mx + b?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is point-slope form of a linear equation?

Back

The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form y = mx + b, solve for y.

Front

What is the relationship between the coefficients A and B in standard form?

Back

In standard form Ax + By = C, the coefficients A and B determine the slope of the line, which is -A/B.